﻿ How to Add Complex Numbers. Tutorial with examples , practice problems explained step by step.

# How To Add Complex Numbers

### Video Tutorial on Adding Complex Numbers

Let's add the following 2 complex numbers (5 + 2i ) + (7 + 12i) Step 1

Group the real part of the complex number and the imaginary part of the complex number.

(5 + 7) + (2i + 12i)

Step 2

Combine the like terms and simplify

12 + 14i

### Practice Problems

Step 1

This problem is very similar to example 1

Group the real part of the complex number and the imaginary part of the complex number.

(5 + 2) + (3i + 7i)

Step 2

Combine the like terms and simplify

7 + 10i

Step 1

This problem is very similar to example 1

Group the real part of the complex number and the imaginary part of the complex number.

(9 + 3) + (11i + 5i)

Step 2

Combine the like terms and simplify

12 + 16i

Step 1

This problem is very similar to example 1 with the added twist that we have a negative number in there (-2i).

Group the real part of the complex number and the imaginary part of the complex number.

(12 + 3) + (14i + -2i)

Step 2

Combine the like terms and simplify

15 + 12i

Step 1

This problem is very similar to example 1with the added twist that we have a negative number in there (-13i).

Group the real part of the complex number and the imaginary part of the complex number.

(6 + 12) + (-13i + 8i)

Step 2

Combine the like terms and simplify

18 - 5i

Step 1

Group the real part of the complex number and the imaginary part of the complex number.

(-2 + -12) + (-15i + 13i)

Step 2

Combine the like terms and simplify

-14 + 2i

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